λ
Harmonic Matrix

9,501,081

3 × 383 × 8269
Deficient Odd Composite

9,501,081 has digital root 6. The neighboring primes are 9501077 and 9501091; its proper-divisor sum differs from the starting integer by -6,299,442.

Prime Factor Structure

Factorization String 3 × 383 × 8269
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,702,720
Proper Divisor Sum 3,201,639
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #9501077 ← → #9501091

Radix Representation

Decimal 9501081
Binary 100100001111100110011001 (24 bits)
Octal 0o44174631
Hexadecimal 0x90F999

Divisor Catalog (8)

1 3 383 1,149 8,269 24,807 3,167,027 9,501,081

Collatz Trajectory (176 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

9,501,081 28,503,244 14,251,622 7,125,811 21,377,434 10,688,717 32,066,152 16,033,076 8,016,538 4,008,269 12,024,808 6,012,404 3,006,202 1,503,101 4,509,304 2,254,652 1,127,326 563,663 1,690,990 845,495 2,536,486 1,268,243 3,804,730 1,902,365 5,707,096 2,853,548 1,426,774 713,387 2,140,162 1,070,081 3,210,244 1,605,122 802,561 2,407,684 1,203,842 601,921 1,805,764 902,882 451,441 1,354,324 677,162 338,581 1,015,744 507,872 253,936 126,968 63,484 31,742 15,871 47,614 23,807 71,422 35,711 107,134 53,567 160,702 80,351 241,054 120,527 361,582

More profiles

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